Question

Josephine wants to put a wallpaper border around the ceiling of her room. The dimensions are 10 9/12ft and 8 1/2ft How many feet of border does she need?

Answer 1

the answer would be 38 1/2 feet

Answer 2

we know that

the perimeter of a rectangle is equal to

`P=2x+2y`

where

x--------> is the length side of the room

y--------> is the width side of the room

In this problem we have

`x=10(9)/(12)\ ft\\ \\y=8(1)/(2)\ ft`

Convert mixed number to an improper fractions

`x=10(9)/(12)\ ft=(10*12+9)/(12)=(129)/(12)\ ft`

`y=8(1)/(2)\ ft=(8*2+1)/(2)=(17)/(2)\ ft`

substitute the values in the formula of perimeter

`P=2((129)/(12))+2((17)/(2))`

`P=((129)/(6))+17`

`P=(21.5+17)\ ft`

`P=38.5\ ft`

`P=38 (1)/(2)\ ft`

therefore

the answer is

`38 (1)/(2)\ ft`